Nuprl Lemma : xmiddle_wf
XM ∈ ℙ'
Proof
Definitions occuring in Statement :
xmiddle: XM,
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
xmiddle: XM,
member: t ∈ T,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
so_apply: x[s]
Lemmas referenced :
all_wf,
decidable_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
instantiate,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
universeEquality,
Error :lambdaEquality_alt,
hypothesisEquality,
hypothesis,
applyEquality,
cumulativity,
Error :inhabitedIsType,
equalityTransitivity,
equalitySymmetry,
Error :universeIsType
Latex:
XM \mmember{} \mBbbP{}'
Date html generated:
2019_06_20-AM-11_15_40
Last ObjectModification:
2018_09_27-PM-05_36_19
Theory : core_2
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